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Finding the Fourth Proportional to 33,289.71, 49,934.05 and 9,916.14

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Solution

The fourth proportional to 33,289.71, 49,934.05 and 9,916.14 is: 14,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,289.71 : 49,934.05 = 9,916.14 : x
  2. Step 2: Convert to fraction form
    33,289.71/49,934.05 = 9,916.14/x
  3. Step 3: Cross multiply
    33,289.71x = 49,934.05 × 9,916.14
  4. Step 4: Simplify right side
    33,289.71x = 495,153,030.57
  5. Step 5: Solve for x
    x = 495,153,030.57/33,289.71
  6. Step 6: Final answer
    x = 14,874.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.